Maybe I’m old fashioned but I’ve only bought my girlfriend a gift once in a while. I prefer to make her something. If you have a bit of spare time it might be worth whipping something up. (Works out cheaper too!) ;)
Though if you want to get her a game I’d go for The Sims. If she likes a sport then it could be worth getting her one. Virtua Tennis if she’s into that, etc. That could be a good way to lure her in.